Journals / Turkish Journal of Mathematics / 1998 / Cilt: 22 - Sayı: 3

Difference Method for a Singularly Perturbed Initial Value Problem

Pages
283–294
DOI
—

Abstract

In this paper we construct a completely exponentially fitted finite difference scheme for the initial value problem with small parameter by first and second derivatives. We prove the first order uniform convergence of the scheme in the sense of discrete maximum norm. Numerical results are presented.

Özet

In this paper we construct a completely exponentially fitted finite difference scheme for the initial value problem with small parameter by first and second derivatives. We prove the first order uniform convergence of the scheme in the sense of discrete maximum norm. Numerical results are presented.

Keywords: Turk. J. Math., 22, (1998), 283-294. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.22, iss.3.